So you mean orchid leaves are growing from the tip of the stalk...that sounds like a keiki, or a baby plant. That occasionally happens to phal spikes after the flowers drop off. Congrats! When it grows roots longer than your fingers you can cut the baby plant off and plant it as a new phal! Don't cut it before it has good roots/leaves: it'll die. I can't say in how long will the right time come, but keep the mother plant really happy.

Pics of phal keikis:
Phal Keikis Pictures

Search on the web for more info.

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~Green Leaf